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u(t) is called 60 times per second. t: Elapsed time in seconds. S: Shorthand for Math.sin. C: Shorthand for Math.cos. T: Shorthand for Math.tan. R: Function that generates rgba-strings, usage ex.: R(255, 255, 255, 0.5) c: A 1920x1080 canvas. x: A 2D context for that canvas.
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remix of d/701 by u/sigveseb

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  • More layers and a black background #improved

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  • Galaxy
  • u/pavel
    300 bodies which individually only interact with an infinite mass at the center
  • u/pavel
    Each body moves around an ellipse, the orbits are accurate. However, the movement speed is a very rough approximation.
  • u/pavel
    Naively drawing an ellipse centers it around one of the focal points, however moving a body on this path slows the body down near this focal point and speeds it up near the other one.
  • u/pavel
    The opposite effect is needed. So this code still moves a body around an ellipse but it re-centers the ellipse on the 'other' focal point.
  • u/pavel
    In polar coordinates the difference between the x and y coordinates is a phase shift of pi/2 ~ 1.6

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  • u/pavel
    Funky start due to lack of chars but quickly settles. Imagine a black hole in the middle.

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remix of d/12516 by u/pavel

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remix of d/12331 by u/pavel

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remix of d/12355 by u/cantelope

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  • u/pavel
    Err, between -1 and 1, and this makes the top and bottom panels.
  • u/cantelope
    I see some gathering of points in the middle of the top and bottom panels, but other than that, a faithful reproduction. kudos!
  • u/pavel
    I use polar coordinates, even though the radius is uniformly random that results in more dots near the middle :/
  • u/iverjo
    #cube #d3

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